Stirling’s approximation equation is to be derived. Concept introduction: Stirling’s approximation is used to estimate the natural logarithm of factorial of a number. The Stirling’s approximation is represented as, ln N ! ≈ N ln N − N It is assumed in Stirling’s approximation that N is a large number.

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Chapter 17, Problem 17.6E

Interpretation Introduction

Interpretation:

Stirling’s approximation equation is to be derived.

Concept introduction:

Stirling’s approximation is used to estimate the natural logarithm of factorial of a number. The Stirling’s approximation is represented as,

lnN!≈NlnN−N

It is assumed in Stirling’s approximation that N is a large number.

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